A spring with a 4 kg mass is resting on a horizontal frictionless table and is attached to a wall at the left end. It will stretch 0.5 m beyond its natura length when a force of 14 N is applied. If the spring begins at the equilibrium position and is pushed to the right with an initial velocity of 2 m/s, fin the position of the mass after t seconds. (Assume that movement to the right is the positive x direction.) x(e) 0.756 sin(2.6461) × Graph the position function of the mass. Χ x
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- In the figure below, a metal bar sitting on two parallel conducting rails, connected to each other by a resistor, is pulled to the right at a constant speed. The resistance R = 6.00 Q, the distance between the rails is { = 1.20 m, and a uniform 2.30 T magnetic field is directed into the page. At what speed (in m/s) should the bar be moved to produce a current of 0.500 A in the resistor? R Fapp m/sA particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z) = z2i+ 3xyj + 3y2k. Use Stokes' Theorem to find the work done.A wire with length 4.0 cm stretches along the x axis and carries a 3.0 A current to the right (+) The wire is in a uniform magnetic field B-(0.25i-0.30j+0.22k) T Determine the x-component of the force on the wire Express your answers using two significant figures. ΕΧΕΙ ΑΣΦ Fx 2.6 102 Submit Previous Answers Request Answer Part B Incorrect; Try Again; One attempt remaining Determine the y-component of the force on the wire. Express your answers using two significant figures. ΕΧΕΙ ΑΣΦ Fy Submit Previous Answers Request Answer ? ? N N
- 5. Consider a coaxial cable which is an (infinitely) long wire of radius a, with given current flowing uniformly up it (so J(t) = I(t)/лa² goes uniformly through the wire). At the outside edge (r=a), there is an infinitesimally thin insulator, and just outside that, an infinitesimally thin sheath that returns all the current, basically a surface current going down the opposite direction carrying a total -I(t) back down. Figure out the B field everywhere in space (direction and magnitude) in terms of givens, and then find the self-inductance per length of this cable. Assume I(t) changes slowly in time, so we can use our usual quasi-static ideas. There are several ways to proceed. You might start from =LI, but this turns out to be tricky here, since the current is not confined to a single path! It is best to think about the total magnetic energy, W, stored by the magnetic field, and use our usual relation between energy and current: WL I²/2.A photon moving in the +x-direction, scatters off a free stationary electron. The wavelength of the incident photon is 0.0310 nm. After the collision, the electron moves at an angle a below the +x- axis, while the photon moves at an angle = 81.3° above the +x-axis. (For the purpose of this exercise, assume that the electron is traveling slow enough that the non-relativistic relationship between momentum and velocity can be used.) (a) What is the angle a (in degrees)? 47.21 X What is the shift in wavelength of the photon due to the scattering? How can you use momentum conservation in the horizontal and vertical directions to determine the angle? counterclockwise from the +x-axis (b) Determine the speed of the electron (h m/s). m/s(4) Air at 100kPa, 295K and moving at m 710 is decelerated isentropically to S m 250. Determine the final static S temperature and static pressure. [515 K, 702kPa]
- Which of the following statements about Newton's first law of motion is correct? a) An object will accelerate if a force is applied to it. b) An object at rest will remain at rest unless acted upon by an unbalanced force. c) Force is equal to mass times acceleration. d) For every action, there is an equal and opposite reaction.3. Fizen Lures Inc. manufactured fishing lures. Their most popular lure is a Bass plug which uses a hook purchased from another manufacturer and polystyrene for the body of the lure itself. The company uses highly automated injection molding machines to manufacture lures. Because of this direct labor cost are at a minimum because one machine operator can operate three injection molding machines at same time. The company has developed the following standard costs include scrap to manufacture each lure: Material standards: Hook: 1.1 Hooks per lure at $.10 per hook. Polystyrene plastic: 3.5 ounces per lure at $.25 per Labor standards: ounce. Direct labor: .005 hours to produce one lure at $23.50/hr. including all employer payroll taxes and benefits. During month of April the company manufactured 120,000 Bass lures and incurred the following costs: Material costs: Purchased 30,000 pounds (480,000 ounces) of polystyrene for a total cost of $144,000 dollars. Used 418,000 ounces of…In Elliott Wave Analysis, a full cycle is made up of how many waves? a. Impulse waves only b. 8 c. 3 d. 5
- 3.1 What is the minimum possible thickness of a soap bubble suppose it looks green (λ=500nm) when viewed at an angle of 45 degrees from the surface normal of the bubble? What is its color when viewed from the surface normal direction? Why the color looks grey before a soap bubble breaks? Suppose soap water has a refractive index of n=1.33 for all wavelengths of light. NaA 1.4-kg decoration hangs from the three wires as shown in the figure. The wire on the left makes an angle ax = 66.5° with the ceiling. The wire on the right makes an angle B-37.11° with the ceiling. The wire on the left has a tension that is twice that of the tension in the wire on the right. Part A What is the tension in the vertical wire attached to the decoration? This value is used in the next part, so use 4 significant digits. FT Value Submit Request Answer Part B ? Units a BI need to find the slope and the intercept. For the slope round to two decimal places, and for the intercept round to the nearest dollar